40631310720 has 2048 divisors, whose sum is σ = 202341888000. Its totient is φ = 7524679680.

The previous prime is 40631310719. The next prime is 40631310743. The reversal of 40631310720 is 2701313604.

40631310720 is a `hidden beast` number, since 4 + 0 + 631 + 3 + 1 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1401079666 + ... + 1401079694.

It is an arithmetic number, because the mean of its divisors is an integer number (98799750).

Almost surely, 2^40631310720 is an apocalyptic number.

40631310720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40631310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101170944000).

40631310720 is an abundant number, since it is smaller than the sum of its proper divisors (161710577280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40631310720 is a wasteful number, since it uses less digits than its factorization.

40631310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 40631310720 in words is "forty billion, six hundred thirty-one million, three hundred ten thousand, seven hundred twenty".